Equidistribution of CM points on a Shimura Curve modulo a ramified prime

2024/05/31 by Saettone, Francesco Maria
#11G18 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2405.20841

Abstract

We prove an equidistribution statement for the reduction of Galois orbits of CM points on the special fiber of a Shimura curve over a totally real field attached to some ramified primes. To do so we study the reduction of CM points in the special fiber and we use Ratner's theorem to obtain the desired equidistribution.

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